ir enters a cooling section at 97 kPa, 35°C, and 30 percent relative humidity m'/min, where it is cooled until the moisture in the air starts condensing. Determine the mperature of the air at the exit and the rate of heat transfer in the cooling section.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Statement:**

Air enters a cooling section at 97 kPa, 35°C, and 30 percent relative humidity at a rate of 6 m³/min, where it is cooled until the moisture in the air starts condensing. Determine the temperature of the air at the exit and the rate of heat transfer in the cooling section.

---

This problem entails calculating the temperature at which the moisture in the air begins to condense as it is cooled in a cooling section, along with the rate of heat transfer required for this process. Given parameters include:

- **Pressure:** 97 kPa
- **Initial Temperature:** 35°C
- **Relative Humidity:** 30%
- **Airflow Rate:** 6 m³/min

To solve this, we need to use principles of thermodynamics, particularly those involving the properties of air and water vapor mixtures. The key steps involve:

1. **Determine the Dew Point:** Calculate the temperature at which the air becomes saturated (relative humidity reaches 100%) and condensation begins.
2. **Calculate the Heat Transfer Rate:** Determine the energy needed to cool the air from 35°C to the dew point while considering the specific heat capacities of dry air and water vapor.

**Note:** In a real-world application, psychrometric charts or software tools such as HVAC design software may be used to facilitate these calculations.

Understanding this problem helps students apply theoretical knowledge in thermodynamics to practical scenarios, preparing them for challenges in fields like HVAC system design and environmental control engineering.
Transcribed Image Text:**Problem Statement:** Air enters a cooling section at 97 kPa, 35°C, and 30 percent relative humidity at a rate of 6 m³/min, where it is cooled until the moisture in the air starts condensing. Determine the temperature of the air at the exit and the rate of heat transfer in the cooling section. --- This problem entails calculating the temperature at which the moisture in the air begins to condense as it is cooled in a cooling section, along with the rate of heat transfer required for this process. Given parameters include: - **Pressure:** 97 kPa - **Initial Temperature:** 35°C - **Relative Humidity:** 30% - **Airflow Rate:** 6 m³/min To solve this, we need to use principles of thermodynamics, particularly those involving the properties of air and water vapor mixtures. The key steps involve: 1. **Determine the Dew Point:** Calculate the temperature at which the air becomes saturated (relative humidity reaches 100%) and condensation begins. 2. **Calculate the Heat Transfer Rate:** Determine the energy needed to cool the air from 35°C to the dew point while considering the specific heat capacities of dry air and water vapor. **Note:** In a real-world application, psychrometric charts or software tools such as HVAC design software may be used to facilitate these calculations. Understanding this problem helps students apply theoretical knowledge in thermodynamics to practical scenarios, preparing them for challenges in fields like HVAC system design and environmental control engineering.
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